I am wondering if a male dog would lose respect if you had sex, like him being the "boss" now?
This kind of an idea is rooted into the old and wrong idea that dogs and wolves have a hierarchy in the "pack"
A pack is literally a family, mom canine, dad canine and their puppies. There are no fights over dominance and no one has to "show you're the boss". Being sensible and kind works better, you can talk to dogs if you learn the language and that gets the message across.
I think in this idea is also some human ideas, like how some men might only be after a girl for sex and stop treating them nice after they get it, which is also pretty fucked up. But dogs don't think like this, they will likely like and respect you more the more fun things you do with them.
Now, for the compatibility..
The biological world is so mish-mash and hoity-toity that things like compatibility and adaptability are an ingrained part of it.
I mean, sea cucumbers have a butthole (which is also their mouth) which is perfect for one species of fish to live in. They just live in a sea cucumber butt-mouth because it just happens to accommodate them by accident :--D
If we think of the perfect "compatibility" with humans and dogs to be the ability to hold a knot so that the dog is satisfied, then our hands are probably the best tool for it. We can grab on things and manipulate them however we please with our hands.
My favorite kind of sex is in fact handjobs with male dogs, I get to hold their beautiful penis, maybe lick it and hold the knot and adore his anatomy.
In a way, my hands can even do more than a female dog's vulva! So human hands + male dog penis might be even MORE compatible than a female dog's vagina
and that's silly, but true.
Nature has just haphazardly put everything together trough evolution, a series of "whoops, I did this thing but HEY! It actually worked!" so the matter of compatibility is actually a matter of adaptability. Humans love dogs, dogs love humans and we are able to find a way to fit together, psychologically, romantically and sexually